We discuss evolution operators of Schrodinger type which have a non-self-adjoint lower order term and give a necessary condition for the Cauchy problem to such operators to be well-posed in Gevrey spaces. Under an additional assumption, this necessary condition is sharp. (C) 2003 tditions scientifiques et medicales Elsevier SAS. All rights reserved.
|Number of pages||19|
|Journal||Bulletin des Sciences Mathématiques|
|Publication status||Published - Aug 2003|
- Schrodinger operator
- non-self-adjoint lower order term